Wakefield have lifted suspensions on Scott Anderson and Reece Lyne ahead of their Qualifiers fixture at Sheffield.
Lyne, along with full-back Kevin Locke, was reportedly in a car being driven by scrum-half Tim Smith which was crashed in Hull city centre.
Smith will appear in court later this month charged with driving without due care and attention, while Locke remains suspended by the club.
Forward Anderson had been banned in relation to an unconnected incident.
"The investigation into Reece has been concluded," Wakefield chairman Michael Carter said.
"He's been fined for his part in the incident and he's back in the squad. It's pretty much the same with Scott Anderson and he's also training.
"The other investigation is still ongoing. I was hoping to get it concluded on Tuesday but it was not possible."
Meanwhile, Carter says that Wakefield are likely to continue playing at their Belle Vue ground next season after reaching an agreement in principle over a rent dispute.
"We have to firm things up but I don't see any obstacles," he added.
"The plan will be to remain at Belle Vue, certainly for next year, but the ultimate aim is to move into a new community stadium at Newmarket."
Wakefield are currently fourth in the Qualifiers, and have not yet secured their Super League status for next season.